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3 years ago

What's the value of x in the equation: 10x-6=5x34

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

8 0

Answer:

Step-by-step explanation:

10x-6=5x+34

-5x -5x

5x-6=34

+6 +6

5x=40

---- ----

5 5

x= 8

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The midpoint of AB is M(4, -2). One endpoint is A(-2, 6). What is the other endpoint for B?

Ghella [55]

Answer:

endpoint for B is (10,-2)

Step-by-step explanation:

M={(x1+x2)/2,(y1+y2)/2}

(4,2)={-2+x2/2,6+y2/2)

By equating the x coordinates

4=-2+x2/2

8=-2+x2

8+2=x2

x2=10

By equating the y coordinates

2=6+y2/2

4=6+y2

4-6=y2

y2=-2

Therefore the endpoint for B is (10,-2)

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3 years ago

There are 12 Snickers bars and 7 Hershey bars in a bag. The probability of drawing a Snickers bar first, not replacing it, then

sergeinik [125]

Answer:

It is True

Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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1 year ago

Solve the equation 2 sec² x = 3 - tan x for the domain 0° ≤ x ≤ 360°

vodka [1.7K]

$2 \sec^2 x = 3- \tan x \\\\\implies 2(1 +\tan^2 x) = 3- \tan x \\\\\implies 2 + 2 \tan^2 x +\tan x -3 =0\\\\\implies 2 \tan^2 x + \tan x -1 =0\\\\\implies 2u^2 + u -1 =0~~~ ;[\text{set} \tan x = u]\\\\\implies u = \dfrac{-1\pm \sqrt{1-4\cdot 2 \cdot (-1)}}{2(2)}\\\\\implies u =\dfrac{-1 \pm\sqrt{9}}{4}\\\\\implies u = \dfrac{-1 \pm 3}{4}\\\\\implies u = \dfrac{2}{4}=\dfrac 12~~ \text{or} ~~u =\dfrac{-4}{4} =-1\\\\$

$\implies \tan x = \dfrac 12 ~~ \text{or} ~~ \tan x =-1~~~ ;[\text{Substitute back u =tan x}]\\\\\text{Now,}~ \\\\\tan x = -1,\\\\\implies x = n\pi - \dfrac{\pi}4\\\\\\\text{For interval,}~ [0,2\pi) \\\\x = \dfrac{3\pi}4, \dfrac{7\pi}4\\\\\text{In degrees,}~ x = 135^{\circ}, x =315^{\circ}\\\\\tan x = \dfrac 12\\\\\implies x = n\pi + \tan^{-1} \left(\dfrac 12 \right)\\\\\text{For interval} ~[0,2\pi),\\\\$

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$\text{In degrees,}~ x = 135^{\circ},~315^{\circ},~\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]$

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2 years ago

Which equation is equivalent to 4s=t+2

Paraphin [41]

Answer:If we're solving for t my work is below:

t = 4 s - 2

If we're solving for s my work is below:

s = t + 2/4

Step-by-step explanation:

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3 years ago